If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?

If The Blue Radius Below Is Perpendicular To The Chord AC Which Is. 14 Units Long, What Is The Length

Answers

Answer 1

Answer:

C. 7 units

Step-by-step explanation:

The given parameters are;

The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units

The orientation of the radius and the chord = The radius is perpendicular to the chord

We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle

[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex]  by reflexive property

The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]

ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)

[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB

Therefore;

ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency

Therefore;

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate

∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] =  [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 ×  [tex]\overline{AB}[/tex]

∴  [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2

[tex]\overline{AB}[/tex] = 14/2 = 7

[tex]\overline{AB}[/tex] = 7 units.

Answer 2

Answer:

7 units

Step-by-step explanation:


Related Questions

What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property

Answers

Answer:

Definition of Congruent angles.

Step-by-step explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:

[tex]\angle ABC \cong \angle ABD[/tex]

When the sign [tex]\cong[/tex] is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of Congruent angles.

Answer:

ABC and ABD are congruent

Step-by-step explanation:

how do i rename 2/7 and 10/21 and whats the most common denominator for them

Answers

The most common denominator for them is the LCM which is 21

Now

2/7 = 2/7×3/3

= 6/21

Therefore 6/21 and 10/21

Must click thanks and mark brainliest

An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study. Are the data from Engineering Horizons consistent with the claim reported by Fortune

Answers

Answer:

unless this is a stats question and you are suggesting that you have bad sampling techniques being used

117/484 is about 24% that is 100% under the "about 50%" stated in the article

Step-by-step explanation:

School is stressful.
Also, I don't know what I am supposed to put in this text box.​

Answers

Answer: A) 4

Explanation:

For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.

The short leg is opposite the smallest angle (30 degrees), so we see that

x = 8/2 = 4.

Can someone help me out

Answers

Answer:

82.8

Step-by-step explanation:

area of the parallelogram = base × height

= 13.8×6

= 82.8 in²

Answered by GAUTHMATH

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

write down the first 3 term of each sequence described by the sequence with first term 8 and difference -7​

Answers

Answer:

8,1,-6

Step-by-step explanation:

8 + (-7)

= 8-7 = 1

1 + (-7) = 1 - 7 = -6

The first three terms are 8, 1,-6

Answered by Gauthmath

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

C. 12 for $6.00

Step-by-step explanation:

Answer:

C. 12 for $6.00

Step-by-step explanation:

better than $13.00 for 24. as that'd be $6.50 for 12..

what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???

Answers

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

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Determine the 3 digit chopping and rounding approximately of the number 0.9

Answers

Answer:

We want to "chop and round" the periodic number 0.9 at 3 digits.

First, remember that we can write our periodic number as:

0.9 = 0.9999...

Such that the nine repeats infinitely.

Now we want to chop it at the third digit, and then round.

To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:

0.9 ≈ 0.999

Now we round.

Remember that to round a number, we need to look at the last digit after the decimal point.

If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.

If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.

in our number:

0.999

The last digit is a 9, so we round up.

Then we add "1" to the previous decimal

but the previous decimal is a 9, so when we add 1, it will transform into a 10.

So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.

So after rounding, we will get:

0.999 ≈ 1

Then we can conclude that:

he 3 digit chopping and rounding approximately of the number 0.9 is 1"

solve this question :
-10k2+7

Answers

Answer:

-10k×2+7

= -20k+7

Step-by-step explanation:

is the answer

square root of 800 to the nearest thousandth

Answers

The answer is most likely 28.2843

Answer:

28.284

Step-by-step explanation:

The circumference of a circle is 6pi inches. What is the area of the circle

Answers

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?​

Answers

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

If you want to learn more, you can read:

https://brainly.com/question/24329720

whats the area in square inches ​

Answers

Answer:

Area of triangle =1/2b×h

1/2×10×8.7

=44 square inches

Answer:

44

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

where b is the base and h is the height

A = 1/2 (10) (8.7)

A= 43.5

Rounding to the nearest whole number

A = 44

Which of the following is written as a rational function

Answers

I guess it’s letter B

The function written in the rational form is, C. F(x) = (x - 5)/3x

What are rational numbers?

Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.

Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.

From the given options, F(x) is written in the form p/q,

Where, p = x - 5 and q = 3x.

Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.

As at x = 0 the function is undefined.

learn more about rational functions here :

https://brainly.com/question/27914791

#SPJ7

Find the indicated side of the
right triangle.
45°
y
6
45°

Answers

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

Answer:

x=6

Step-by-step explanation:

Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal

x=6

Please help explanation if possible

Answers

Answer:

I don't know ask to your teacher

anyone know the answer?​

Answers

Answer:

B

Ive had this before

plz help me this will be appreciated ​

Answers

Answer:

1. h

2. b

3. a

4. d

5. c

Step-by-step explanation:

all answers are straight forward. only the last (5) is phrased a bit strangely. I would have said "reflect across a horizontal line".

HELP PLZ!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]

15 2 times n

16 10 race to the power 7

17 m race to the power 5

18 x times y

19 6 subtracted from 5 times n race to the power 2

20 1 added to 9 times a race to the power 3

21 x race to the power 3 times y race to the power 2

22 c race to the power 4 times d race to the power 6

23 3 times e added to 2 times e race to the power 2

Must click thanks and mark brainliest

9.

For which discriminant is the graph possible?

A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0

Answers

Answer:

C. b2 – 4ac = 0

Step-by-step explanation:

What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

Combine these radicals.




Anyone can help pls

Answers

C. -26 square root of 3

I need help this is urgent

Write an equation of the line below

Answers

Given the line, we have points (0,4),(1,3), (2,2), (3,1) and (4,0)
Hence, y= 4-x

What is the factor of
[tex] {x}^{4} - x[/tex]
Plz​

Answers

This is the answer I guess

EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).

Answers

The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees

Given that:

[tex]\angle IEF = 36^o[/tex]

IEF and GHI are the base angles of the trapezoid.

So:

[tex]\angle GHI = \angle IEF = 36^o[/tex]

Also:

[tex]\triangle GHI[/tex] is an isosceles triangle.

This means that:

[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle

So:

[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle

Substitute known values

[tex]36 + 36+ \angle HGI = 180[/tex]

[tex]72 + \angle HGI = 180[/tex]

Collect like terms

[tex]\angle HGI = 180-72[/tex]

[tex]\angle HGI = 108[/tex]

Learn more about isosceles trapezoids at:

https://brainly.com/question/4333941

what fraction of these houses have seven rooms

Answers

Answer:

9/50

Step-by-step explanation:

18 % have 7 rooms

18 % means 18 out of 100

18/100

Divide top and bottom by 2

9/50

9/50 just divide the top from the bottom

Evaluate-2 xy, if x= - 4 and y= 1.

Answers

Answer:

8

Step-by-step explanation:

-2 xy

Let x = -4 and y = 1

-2 (-4)*(1)

8(1)

8

5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds? ​

Answers

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

We are given;

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

Read more about exponents at; https://brainly.com/question/18248071

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